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Finding the Third Proportional to 7,200.56 and 14,900.63

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Solution

The third proportional to 7,200.56 and 14,900.63 is: 30,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.56 : 14,900.63 = 14,900.63 : x
  2. Step 2: Convert to fraction form
    7,200.56/14,900.63 = 14,900.63/x
  3. Step 3: Cross multiply
    7,200.56x = 14,900.63 × 14,900.63
  4. Step 4: Simplify right side
    7,200.56x = 222,028,625.39
  5. Step 5: Solve for x
    x = 222,028,625.39/7,200.56
  6. Step 6: Final answer
    x = 30,834.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.